282798734400 has 1008 divisors, whose sum is σ = 1283065906304. Its totient is φ = 59659960320.

The previous prime is 282798734399. The next prime is 282798734401. The reversal of 282798734400 is 4437897282.

It is a happy number.

282798734400 is a `hidden beast` number, since 2 + 82 + 7 + 98 + 73 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (282798734399) and next prime (282798734401).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (282798734401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35376804 + ... + 35384796.

Almost surely, 2^282798734400 is an apocalyptic number.

282798734400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282798734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641532953152).

282798734400 is an abundant number, since it is smaller than the sum of its proper divisors (1000267171904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

282798734400 is a wasteful number, since it uses less digits than its factorization.

282798734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 282798734400 in words is "two hundred eighty-two billion, seven hundred ninety-eight million, seven hundred thirty-four thousand, four hundred".